229334108640 has 768 divisors, whose sum is σ = 914782740480. Its totient is φ = 47285821440.

The previous prime is 229334108629. The next prime is 229334108671. The reversal of 229334108640 is 46801433922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 229334108592 and 229334108601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346949910 + ... + 346950570.

It is an arithmetic number, because the mean of its divisors is an integer number (1191123360).

Almost surely, 2^229334108640 is an apocalyptic number.

229334108640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229334108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457391370240).

229334108640 is an abundant number, since it is smaller than the sum of its proper divisors (685448631840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229334108640 is a wasteful number, since it uses less digits than its factorization.

229334108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 229334108640 in words is "two hundred twenty-nine billion, three hundred thirty-four million, one hundred eight thousand, six hundred forty".